λ
Match Zalai

7,641,727

23 × 83 × 4003
Deficient Odd Composite

7,641,727 factors as 23 × 83 × 4003. Its 8 positive divisors give a proper-divisor sum of 430,337, so this integer is deficient. The Collatz stopping time is 204 steps.

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Prime Factor Structure

Factorization String 23 × 83 × 4003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,072,064
Proper Divisor Sum 430,337
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7641709 ← → #7641737

Radix Representation

Decimal 7641727
Binary 11101001001101001111111 (23 bits)
Octal 0o35115177
Hexadecimal 0x749A7F

Divisor Catalog (5 of 8)

1 23 83 1,909 4,003

Collatz Trajectory (204 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

7,641,727 22,925,182 11,462,591 34,387,774 17,193,887

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